Semigroups of matrices closed under conjugation by normal linear groups

Silva, Fernando C.; Araújo, João

http://hdl.handle.net/10400.2/2023

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Authors

Silva, Fernando C.

Araújo, João

Abstract(s)

Let X be a finite set, T(X) be the monoid of all transformations on X and Sym(X) be the symmetric group on X. Recentely Levi, McAl- ister and McFadden proved that if |X| > 4, G is a normal subgroup of Sym(X) and a ∈ T(X) \ Sym(X), then ⟨g−1ag : g ∈ G⟩ = ⟨{a} ∪ G⟩ \ G. The aim of this paper is to prove a linear analogous of this result.

Keywords

Semigroups

URI

http://hdl.handle.net/10400.2/2023

Citation

Silva, Fernando C.; Araújo, João - Semigroups of matrices closed under conjugation by normal linear groups. "JP Journal of Algebra, Number Theory and Applications" [Em linha]. ISSN 0972-5555. Vol. 5, nº 3 (2004), p. 535-545